113138857260000 has 2880 divisors, whose sum is σ = 484650274268160. Its totient is φ = 24664872960000.

The previous prime is 113138857259977. The next prime is 113138857260017. The reversal of 113138857260000 is 62758831311.

It is a happy number.

113138857260000 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 38 + 8 + 5 + 7 + 2 + 600 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 326048579827 + ... + 326048580173.

It is an arithmetic number, because the mean of its divisors is an integer number (168281345232).

Almost surely, 2^{113138857260000} is an apocalyptic number.

113138857260000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113138857260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242325137134080).

113138857260000 is an abundant number, since it is smaller than the sum of its proper divisors (371511417008160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113138857260000 is a wasteful number, since it uses less digits than its factorization.

113138857260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 113138857260000 in words is "one hundred thirteen trillion, one hundred thirty-eight billion, eight hundred fifty-seven million, two hundred sixty thousand".